Improved CEM-RBS Control Charts for Monitoring the Process Mean using Ranked-Based Sampling Designs

Document Type : Article

Authors

1 Department of Statistics, National College of Business Administration and Economics, Lahore, Pakistan.

2 Department of Statistics, National College of Business Administration & Economics, Lahore, Pakistan

3 Department of Statistics, National College of Business Administration and Economics

4 COMSATS Institute of Information Technology, Islamabad-Lahore Campus, Pakistan.

Abstract

In this study, different ranked-based sampling (RBS) schemes are used to design a sensitive control chart to monitor the small or moderate shifts in the process mean and named combined EWMA moving average RBS (CEM-RBS) control charts. The average run-length (ARL) and the standard deviation of the run-length (SDRL) through Monte Carlo simulation runs are computed to evaluate the performance of the proposed charts in comparison with the existing charts such as MA, EWMA, EWMA-MA and the ranked set sampling (RSS) based EWMA control charts. It is proved through a comparative study that the proposed CEM-RBS charts indicate a significant improvement in the performance of the EWMA-MA chart by using the RBS concept. A real dataset-based example is also included to explain the concept in detail.

Keywords

Scientia Iranica

Articles in Press, Accepted Manuscript
Available Online from 31 October 2022

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